Search a number
-
+
4848008484 = 22311791014603
BaseRepresentation
bin1001000001111011…
…01011110100100100
3110111212101100101210
410200331223310210
534412042232414
62121021351420
7231065251344
oct44075536444
913455340353
104848008484
112068635590
12b33708570
135c3513397
1433dc18d24
151d5931e59
hex120f6bd24

4848008484 has 96 divisors (see below), whose sum is σ = 12623063040. Its totient is φ = 1435824000.

The previous prime is 4848008483. The next prime is 4848008513.

It is a happy number.

4848008484 is nontrivially palindromic in base 10.

4848008484 is a modest number, since divided by 8484 gives 4848 as remainder.

It is not an unprimeable number, because it can be changed into a prime (4848008483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1050927 + ... + 1055529.

It is an arithmetic number, because the mean of its divisors is an integer number (131490240).

Almost surely, 24848008484 is an apocalyptic number.

4848008484 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4848008484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311531520).

4848008484 is an abundant number, since it is smaller than the sum of its proper divisors (7775054556).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4848008484 is a wasteful number, since it uses less digits than its factorization.

4848008484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4801 (or 4799 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The square root of 4848008484 is about 69627.6416662233. The cubic root of 4848008484 is about 1692.4705628024.

Multiplying 4848008484 by its sum of digits (48), we get a palindrome (232704407232).

The spelling of 4848008484 in words is "four billion, eight hundred forty-eight million, eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 79 101 132 158 202 237 303 316 404 474 606 869 948 1111 1212 1738 2222 2607 3333 3476 4444 4603 5214 6666 7979 9206 10428 13332 13809 15958 18412 23937 27618 31916 47874 50633 55236 87769 95748 101266 151899 175538 202532 263307 303798 351076 363637 464903 526614 607596 727274 929806 1053228 1090911 1394709 1454548 1859612 2181822 2789418 4000007 4363644 5113933 5578836 8000014 10227866 12000021 15341799 16000028 20455732 24000042 30683598 36727337 48000084 61367196 73454674 110182011 146909348 220364022 404000707 440728044 808001414 1212002121 1616002828 2424004242 4848008484